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For any connected graph G, it is possible to construct its universal covering graph. [3] This is an instance of the more general universal cover concept from topology; the topological requirement that a universal cover be simply connected translates in graph-theoretic terms to a requirement that it be acyclic and connected; that is, a tree. The ...
Story – A post only one story tall as in "storeyed construction" [12] also known as platform framing. Prick – 1) Same as story post, a one-story post for extra support at a particular location; 2) In a roof truss a side post. [13] Ridge – A post extending from the ground or foundation to the ridge beam.
If : ~ is a covering, (~,) is said to be a covering space or cover of , and is said to be the base of the covering, or simply the base. By abuse of terminology , X ~ {\displaystyle {\tilde {X}}} and p {\displaystyle p} may sometimes be called covering spaces as well.
The rotation group SO(3) has as a universal cover the group SU(2), which is isomorphic to the group of versors in the quaternions. This is a double cover since the kernel has order 2. (cf the tangloids.) The unitary group U(n) is covered by the compact group T × SU(n) with the covering homomorphism given by p(z, A) = zA. The universal cover is ...
Lebesgue's universal covering problem is an unsolved problem in geometry that asks for the convex shape of smallest area that can cover every planar set of diameter one. The diameter of a set by definition is the least upper bound of the distances between all pairs of points in the set. A shape covers a set if it contains a congruent subset.
In recent posts, has advocated for the end of federal income tax, term limits in Congress, universal health care and price caps. ... The brand also angered left-leaning customers because of its ...
Since every Riemann surface has a universal cover which is a simply connected Riemann surface, the uniformization theorem leads to a classification of Riemann surfaces into three types: those that have the Riemann sphere as universal cover ("elliptic"), those with the plane as universal cover ("parabolic") and those with the unit disk as ...
A lean-to addition is an appendix to an existing structure constructed to fulfill a new need. Sometimes, it covers an external staircase, as in a 15th century addition against one of the walls of the large chapter room of the cathedral of Meaux. Other uses include protecting entrances, or establishing covered markets outside existing buildings. [1]
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